We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
Answer:
More comments!
Step-by-step explanation:
Answer:
you have four walls. two of them 12*8 and the other two are 10*8 ( we used 8 in both because it's the height of the room). so it goes( 2*12*8)+(2*10*8) and it goes 352S
Step-by-step explanation:
let's say that walls A 12*8 and walls B 10*8. you have 4 walls ta wallpaper.
for walls A= 2*12*8=192
for walls B=2*10*12=160
in total, you need 160+192= 352 square feet of wallpaper
Wells since there's a decimal theres a whole number so its 6 and .25 as a fraction is 1/4 so its 6 1/4
